(Round all intermediate calculations to at least 4 decimal places.) Consider the

Question

(Round all intermediate calculations to at least 4 decimal places.) Consider the following hypotheses: HA: H s 120 The population is normally distributed. A sample produces the following observations: 105 120 110122 99 106 Use the critical value approach to conduct the test at a 10% level of significance. Use Table 2. a. Find the mean and the standard deviation. (Round your answer to 2 decimal places.) Mean Standard deviation b. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Test statistic c. Calculate the critical value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Critical value

Explanation / Answer

SolutionA:

sample mean=sum/total=662/6=110.33

Solutionb:

test statsitc:

t=sample mean-pop mean/sample sd/sqrt(n)

=110.33-120/9/sqrt(6)

t= -2.63

test statistic=-2.63

Solutionc:

df=n-1=6-1=5

alpha=1-0.90=.10

alpha/2=0.10/2=0.05

t crit=-1.476

Mean 110.33 Standard Deviation 9.00

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